Search a number
-
+
100430153350540 = 225132985112939929
BaseRepresentation
bin10110110101011100110111…
…100111010111110110001100
3111011121000210001201211001021
4112311130313213113312030
5101130421423224204130
6553332550413523524
730103560552245236
oct2665346747276614
9434530701654037
10100430153350540
112a0002093a3092
12b3200531a35a4
1344066a484c330
141ab2bb993b256
15b926434d437a
hex5b57379d7d8c

100430153350540 has 48 divisors (see below), whose sum is σ = 227134280731680. Its totient is φ = 37080657676800.

The previous prime is 100430153350523. The next prime is 100430153350547. The reversal of 100430153350540 is 45053351034001.

It is a junction number, because it is equal to n+sod(n) for n = 100430153350496 and 100430153350505.

It is not an unprimeable number, because it can be changed into a prime (100430153350547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291296 + ... + 14231224.

It is an arithmetic number, because the mean of its divisors is an integer number (4731964181910).

Almost surely, 2100430153350540 is an apocalyptic number.

100430153350540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100430153350540 is an abundant number, since it is smaller than the sum of its proper divisors (126704127381140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100430153350540 is a wasteful number, since it uses less digits than its factorization.

100430153350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969802 (or 12969800 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 100430153350540 in words is "one hundred trillion, four hundred thirty billion, one hundred fifty-three million, three hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 29851 59702 119404 149255 298510 388063 597020 776126 1552252 1940315 3880630 7761260 12939929 25879858 51759716 64699645 129399290 168219077 258798580 336438154 672876308 841095385 1682190770 3364381540 386269820579 772539641158 1545079282316 1931349102895 3862698205790 5021507667527 7725396411580 10043015335054 20086030670108 25107538337635 50215076675270 100430153350540